I want to start stuyding complex analysis on a graduate level on my own (self study). I'm having trouble with diciding which one of the following books to use:
- Serge Lang's Complex Analysis or
- John. B. Conway's Functions of One Complex Variable.
Here's the first part of the contents of both books:
As you can see, Conway has a chapter on Metric Spaces and the Topology of $\Bbb C$, and starts with power series in the third chapter, while Lang does it directly in the second chapter.
Which of these two books do you guys recommend me and why?